Answer:
- length: 14 feet , width: 43 feet, or
- length: 86 feet, width: 7 feet
Both solutions are valid.
Explanation:
1. First assumption is that the shape of the fence is <u>rectangular</u>.
2. Second, assum the length parallel to the wall measure y feet, so the other two lengths, y, together with x will add up 100 feet
3. The, the area of the fence will be:
- length × width = xy = 600
4. Now you have two equation with two variables which you can solveL
- Solve for y in the first equation: y = 100 - 2x
- Substitute the value of y into the second equation: x (100 - 2x) = 600
5. Solve the last equation by completing squares:
- Distributive property: 100x - 2x² = 600
- Divide both sides by - 1: 2x² - 100x = - 600
- Divide both sides by 2: x² - 50x = -300
- Add the sequare of the half of 50 to both sides: x² - 50x + 625 = 325
- Factor the left side: (x - 25)² = 325
- Square root both sides: x - 25 = ± 18.028
- Clear x: x = 25 ± 18.028
- x = 43.028 ≈ 43 or x = 6.972 ≈ 7
Both values are valid,
If x = 43 , then y = 600/43 = 14
If x = 7, then y = 600/7 = 86
Thus, the lenght and width of the fence may be:
- 43 feet (width) and 14 feet (length), or
- 7 feet (width) and 86 feet (length).
Answer:
it means the the line falls on 9 on the x-axis
and intersects at 378 on the y-axis
Step-by-step explanation:
hope that helped
Answer:
9.78083151 irrational
Step-by-step explanation:
Here, we want to sum 2/5 + √(88) and check if it is rational or irrational
2/5 = 0.4
√88 = 2 √22
So 0.4 + 2 √22
So what we want to do here is add a rational number to an irrational number. Kindly recall that surds are irrational numbers.
Mathematically, adding a rational number to an irrational one gives an irrational result
so we have;
9.780831519647 irrational
Answer:
Option B 
Step-by-step explanation:
we know that
The area of the rectangle room, is equal to
where
L is the length
W is the width
we have
Remember that
1 yard= 3 feet
Convert yards to feet
The area is equal to
